A calculator uses 14 bit binary numbers with one bit for the sign of the number, followed by 8 bits for mantissa, followed by 5 bits for the characteristic. How does this calculator represent 0.0016756057739258 ? ? O ? O ? O ? ? ? ? ? ?
A calculator uses 14 bit binary numbers with one bit for the sign of the number, followed by 8 bits for mantissa, followed by 5 bits for the characteristic. How does this calculator represent 0.0016756057739258 ? ? O ? O ? O ? ? ? ? ? ?
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Transcribed Image Text:**Understanding 14-bit Binary Representation in Calculators**
In this educational section, we explore how a specific calculator uses a 14-bit binary number to represent decimals. The structure is as follows:
- **1 bit** for the sign of the number: This bit determines whether the number is positive or negative.
- **8 bits** for the mantissa: These bits represent the significant digits of the number.
- **5 bits** for the characteristic (exponent): This portion aligns the decimal point.
### Example: Representing 0.0016756057739258
To represent the decimal number 0.0016756057739258, the calculator utilizes the binary format described above. Although the exact binary conversion isn't shown in this image, understanding the bit allocation helps conceptualize how floating-point binary representation functions.
### Diagram Explanation
The diagram consists of 14 binary slots divided by two distinct pipes:
- The first section, consisting of one slot, is for the sign bit.
- The next section has eight slots for the mantissa.
- The final section includes five slots for the characteristic.
This setup visually demonstrates where each part of the binary number resides in the 14-bit structure.
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